What is the Greatest Common Factor of 24525 and 24530?

Greatest common factor (GCF) of 24525 and 24530 is 5.

GCF(24525,24530) = 5

We will now calculate the prime factors of 24525 and 24530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24525 and 24530.

How to find the GCF of 24525 and 24530?

We will first find the prime factorization of 24525 and 24530. After we will calculate the factors of 24525 and 24530 and find the biggest common factor number .

Step-1: Prime Factorization of 24525

Prime factors of 24525 are 3, 5, 109. Prime factorization of 24525 in exponential form is:

24525 = 3² × 5² × 109¹

Step-2: Prime Factorization of 24530

Prime factors of 24530 are 2, 5, 11, 223. Prime factorization of 24530 in exponential form is:

24530 = 2¹ × 5¹ × 11¹ × 223¹

Step-3: Factors of 24525

List of positive integer factors of 24525 that divides 24525 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 109, 225, 327, 545, 981, 1635, 2725, 4905, 8175

Step-4: Factors of 24530

List of positive integer factors of 24530 that divides 24525 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 223, 446, 1115, 2230, 2453, 4906, 12265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24525 and 24530. The biggest common factor number is the GCF number.
So the greatest common factor 24525 and 24530 is 5.

Also check out the Least Common Multiple of 24525 and 24530